Greatest Common Factor of 15248 and 15252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 15248, 15252 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15248 and 15252 is 4.

GCF(15248,15252) = 4

GCF of 15248 and 15252

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 15248 and 15252

GCF of 15248 and 15252 is 4

Prime Factorization of 15248


2 15248
2 7624
2 3812
2 1906
953 953
1

Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:

15248 = 24×9531

Prime Factorization of 15252


2 15252
2 7626
3 3813
31 1271
41 41
1

Prime factors of 15252 are 2,3,31,41. Prime factorization of 15252 in exponential form is:

15252 = 22×31×311×411

∴ So by taking common prime factors GCF of 15248 and 15252 is 4

Greatest Common Factor of 15248 and 15252 by matching factors method

Factors of 15248

List of positive integer factors of 15248 that divides 15248 without a remainder.

1,2,4,8,16,953,1906,3812,7624,15248

Factors of 15252

List of positive integer factors of 15252 that divides 15252 without a remainder.

1,2,3,4,6,12,31,41,62,82,93,123,124,164,186,246,372,492,1271,2542,3813,5084,7626,15252

Greatest Common Factor

We found the factors and prime factorization of 15248 and 15252. The biggest common factor number is the GCF number.
So the greatest common factor 15248 and 15252 is 4.

Also check out the Least Common Multiple of 15248 and 15252

Properties of GCF 15248 and 15252

(i) The GCF of 15248 and 15252 is associative

GCF of 15248 and 15252 = GCF of 15252 and 15248

Related Greatest Common Factor of 15248

Related Greatest Common Factor of 15252

Frequently Asked Questions on GCF of 15248 and 15252

1. What is the GCF of 15248 and 15252?

Answer: GCF of 15248 and 15252 is 4.

2. What are the Factors of 15248?

Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.

3. What are the Factors of 15252?

Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.

4. How to Find the GCF of 15248 and 15252?

Answer:

Greatest Common Factor of 15248 and 15252 = 4

Step 1: Find the prime factorization of 15248

15248 = 2 x 2 x 2 x 2 x 953

Step 2: Find the prime factorization of 15252

15252 = 2 x 2 x 3 x 31 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15248 and 15252 is 4